4 research outputs found
A note on the extended dToda hierarchy
We give a derivation of dispersionless Hirota equations for the extended
dispersionless Toda hierarchy. We show that the dispersionless Hirota equations
are nothing but a direct consequence of the genus-zero topological recursion
relation for the topological model. Using the dispersionless Hirota
equations we compute the two point functions and express the result in terms of
Catalan number.Comment: Latex, 16 page
Conformal Covariantization of Moyal-Lax Operators
A covariant approach to the conformal property associated with Moyal-Lax
operators is given. By identifying the conformal covariance with the second
Gelfand-Dickey flow, we covariantize Moyal-Lax operators to construct the
primary fields of one-parameter deformation of classical -algebras.Comment: 13 pages, Revtex, no figures, v.2: typos corrected, references added
and conclusion modifie
Kernel Formula Approach to the Universal Whitham Hierarchy
We derive the dispersionless Hirota equations of the universal Whitham
hierarchy from the kernel formula approach proposed by Carroll and Kodama.
Besides, we also verify the associativity equations in this hierarchy from the
dispersionless Hirota equations and give a realization of the associative
algebra with structure constants expressed in terms of the residue formulas.Comment: 18 page